Q.

A vehicle travels half the distance l with speed v1 and the other half with speed v2, then its average speed is [NCERT Exemplar]

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a

v1+v22

b

2v1+v2v1+v2

c

2v1v2v1+v2

d

l(v1+v2)v1v2

answer is C.

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Detailed Solution

Time taken to travel first half distance, t1=l/2v1=l2v1Time taken to travel second half distance, t2=l2v2Total tIme = t1+1t2=l2v1+l2v2=l21v1+1v2We know that, vav = Average speed                              =  total distance  total time =ll21v1+1v2=2v1v2v1+v2
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